513563064 has 64 divisors (see below), whose sum is σ = 1553644800. Its totient is φ = 138100224.

The previous prime is 513563053. The next prime is 513563069. The reversal of 513563064 is 460365315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513563069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87054 + ... + 92765.

It is an arithmetic number, because the mean of its divisors is an integer number (24275700).

Almost surely, 2^513563064 is an apocalyptic number.

It is an amenable number.

513563064 is an abundant number, since it is smaller than the sum of its proper divisors (1040081736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513563064 is a wasteful number, since it uses less digits than its factorization.

513563064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179852 (or 179848 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 513563064 is about 22661.9298383876. The cubic root of 513563064 is about 800.8132687955.

It can be divided in two parts, 51 and 3563064, that added together give a triangular number (3563115 = T₂₆₆₉).

The spelling of 513563064 in words is "five hundred thirteen million, five hundred sixty-three thousand, sixty-four".